1206164400 has 360 divisors, whose sum is σ = 4572345744. Its totient is φ = 270950400.

The previous prime is 1206164371. The next prime is 1206164411. The reversal of 1206164400 is 44616021.

1206164400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1206164400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4292260 + ... + 4292540.

Almost surely, 2^1206164400 is an apocalyptic number.

1206164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286172872).

1206164400 is an abundant number, since it is smaller than the sum of its proper divisors (3366181344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1206164400 is a wasteful number, since it uses less digits than its factorization.

1206164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1206164400 is about 34729.8776271959. The cubic root of 1206164400 is about 1064.4750879287.

The spelling of 1206164400 in words is "one billion, two hundred six million, one hundred sixty-four thousand, four hundred".